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Finding the Fourth Proportional to 186,994.80, 258,054.24 and 106,428.48

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Solution

The fourth proportional to 186,994.80, 258,054.24 and 106,428.48 is: 146,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,994.80 : 258,054.24 = 106,428.48 : x
  2. Step 2: Convert to fraction form
    186,994.80/258,054.24 = 106,428.48/x
  3. Step 3: Cross multiply
    186,994.80x = 258,054.24 × 106,428.48
  4. Step 4: Simplify right side
    186,994.80x = 27,464,320,520.76
  5. Step 5: Solve for x
    x = 27,464,320,520.76/186,994.80
  6. Step 6: Final answer
    x = 146,872.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.